Question

If devin has 3 times as many nickels as quarters and they have a combined value of 200 cents how many of each coin does he have

Answer 1

Devin has 15 nickel coins and 5 quarter coins.

Step-by-step explanation:

Total worth = 200 cents

1 nickel = 5 cents

1 quarter = 25 cents

Let,

Nickels = x

Quarters = y

According to given statement;

5x+25y=200    Eqn 1

x = 3y    Eqn 2

Putting x=3y in Eqn 1

$5(3y)+25y=200\\15y+25y=200\\40y=200$

Dividing both sides by 40

$\frac{40y}{40}=\frac{200}{40}\\y=5$

Putting y=5 in Eqn 2

$x=3(5)\\x=15$

Devin has 15 nickel coins and 5 quarter coins.

Keywords: linear equation, substitution method

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